231135742656420 has 480 divisors, whose sum is σ = 841484567548800. Its totient is φ = 47106293133312.

The previous prime is 231135742656407. The next prime is 231135742656463. The reversal of 231135742656420 is 24656247531132.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44047726 + ... + 49015034.

It is an arithmetic number, because the mean of its divisors is an integer number (1753092849060).

Almost surely, 2^{231135742656420} is an apocalyptic number.

231135742656420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231135742656420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420742283774400).

231135742656420 is an abundant number, since it is smaller than the sum of its proper divisors (610348824892380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231135742656420 is a wasteful number, since it uses less digits than its factorization.

231135742656420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4967385 (or 4967362 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 231135742656420 in words is "two hundred thirty-one trillion, one hundred thirty-five billion, seven hundred forty-two million, six hundred fifty-six thousand, four hundred twenty".